138229 has 16 divisors (see below), whose sum is σ = 179200. Its totient is φ = 105840.

The previous prime is 138209. The next prime is 138239. The reversal of 138229 is 922831.

It is not a de Polignac number, because 138229 - 2⁵ = 138197 is a prime.

It is a d-powerful number, because it can be written as 1 + 3⁸ + 2 + 8³ + 2¹⁷ + 9² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4444 + ... + 4474.

It is an arithmetic number, because the mean of its divisors is an integer number (11200).

2¹³⁸²²⁹ is an apocalyptic number.

It is an amenable number.

138229 is a deficient number, since it is larger than the sum of its proper divisors (40971).

138229 is an equidigital number, since it uses as much as digits as its factorization.

138229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 51 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 138229 is about 371.7916082969. The cubic root of 138229 is about 51.7050610671.

It can be divided in two parts, 13822 and 9, that added together give a palindrome (13831).

The spelling of 138229 in words is "one hundred thirty-eight thousand, two hundred twenty-nine".